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Finding the Fourth Proportional to 8,231.28, 12,347.32 and 2,684.61

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Solution

The fourth proportional to 8,231.28, 12,347.32 and 2,684.61 is: 4,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.28 : 12,347.32 = 2,684.61 : x
  2. Step 2: Convert to fraction form
    8,231.28/12,347.32 = 2,684.61/x
  3. Step 3: Cross multiply
    8,231.28x = 12,347.32 × 2,684.61
  4. Step 4: Simplify right side
    8,231.28x = 33,147,738.75
  5. Step 5: Solve for x
    x = 33,147,738.75/8,231.28
  6. Step 6: Final answer
    x = 4,027.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.